Math Problem Statement

Sales tax is 6% of the price of an article. If the sales tax is $0.36, what is the price of the article? (round to the nearest hundredth)

Solution

Let the price of the article be xx. Since the sales tax is 6% of the price, we can express the sales tax as:

Sales Tax=0.06×x\text{Sales Tax} = 0.06 \times x

We are told that the sales tax is $0.36, so:

0.06×x=0.360.06 \times x = 0.36

To solve for xx, divide both sides by 0.06:

x=0.360.06=6x = \frac{0.36}{0.06} = 6

Thus, the price of the article is $6.00.

Would you like more details on how the calculation was done, or do you have any questions?

Here are five related questions for practice:

  1. If the sales tax is 8% and the tax is $0.40, what is the price of the article?
  2. What would the sales tax be on an article priced at $50 with a 6% tax rate?
  3. If an article costs $10 and the sales tax is 5%, what is the total price including tax?
  4. The sales tax is 7% on an item, and the tax amount is $1.05. What is the price of the item?
  5. If an item is priced at $100 and has a 6% sales tax, how much will the customer pay in total?

Tip: When calculating percentages, convert the percentage to a decimal by dividing by 100 (e.g., 6% becomes 0.06).

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Math Problem Analysis

Mathematical Concepts

Percentages
Algebra
Sales Tax Calculation

Formulas

Sales Tax = Tax Rate × Price
Price = Sales Tax / Tax Rate

Theorems

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Suitable Grade Level

Grades 6-8